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Finding the Fourth Proportional to 661.11, 912.34 and 381.35

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Solution

The fourth proportional to 661.11, 912.34 and 381.35 is: 526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.11 : 912.34 = 381.35 : x
  2. Step 2: Convert to fraction form
    661.11/912.34 = 381.35/x
  3. Step 3: Cross multiply
    661.11x = 912.34 × 381.35
  4. Step 4: Simplify right side
    661.11x = 347,916.13
  5. Step 5: Solve for x
    x = 347,916.13/661.11
  6. Step 6: Final answer
    x = 526.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.